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Finding the Third Proportional to 407,868 and 881,238

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Solution

The third proportional to 407,868 and 881,238 is: 1,903,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,868 : 881,238 = 881,238 : x
  2. Step 2: Convert to fraction form
    407,868/881,238 = 881,238/x
  3. Step 3: Cross multiply
    407,868x = 881,238 × 881,238
  4. Step 4: Simplify right side
    407,868x = 776,580,412,644
  5. Step 5: Solve for x
    x = 776,580,412,644/407,868
  6. Step 6: Final answer
    x = 1,903,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.